What is expand (1-sec(x))^2 ?

The solution to expand (1-sec(x))^2 is 1-2sec(x)+sec^2(x)

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expand (1-sec(x))^2

expand

(1 - sec (x))^{2}

1 - 2 sec (x) + sec^{2} (x)

Solution steps

(1 - sec (x))^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(1 - sec (x))^{2} = 1^{2} - 2 \cdot 1 \cdot sec (x) + sec^{2} (x)

= 1^{2} - 2 \cdot 1 \cdot sec (x) + sec^{2} (x)

Simplify

1^{2} - 2 \cdot 1 \cdot sec (x) + sec^{2} (x) : 1 - 2 sec (x) + sec^{2} (x)

= 1 - 2 sec (x) + sec^{2} (x)

\frac{2 x ^{2} + 2 x + 13}{( x - 2 ) ( x ^{2} + 1 ) ^{2}}

\frac{s ^{2} + 7}{( s - 2 ) ^{2} ( s ^{2} + 10 s + 50 )}

- y^{2} (y - x^{4} - \frac{y ^{4}}{4})

(x - 4) (a x - 2 + 3 x - 6)

sin (π (2 n - 1))

What is expand (1-sec(x))^2 ?
The solution to expand (1-sec(x))^2 is 1-2sec(x)+sec^2(x)